Question

if a-b= 0.9 and ab = 0.36 find a​

Answer 1

Answer:

the solution of a is 1.2...

Answer 2

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$Given \: a - b = 0.9 \: --(1)$

$ab = 0.36 \: ---(2)$

$We \: know \: that ,$

$\boxed { \pink { ( a + b )^{2} = (a -b)^{2} + 4ab }}$

$\begin{gathered} ( a + b )^{2} = (0.9)^{2} + 4 \times 0.36 \\ [ From \:(1) \:and \:(2) ] \end{gathered}$

$\begin{gathered} = 0.81 + 1.44 \\= 2.25 \\= (1.5)^{2} \end{gathered}$

$\begin{gathered} \implies a + b = \pm \sqrt{(1.5)^{2}}\\= \pm 1.5 \end{gathered}$

$\red { Therefore, \: a + b } \green {=\pm 1.5 }$

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